Solve w+1/4>-3/5

$$w + \frac { 1 } { 4 } > - \frac { 3 } { 5 }$$

Solve for w

$$w>-\frac{17}{20}$$

Solution Steps

Subtract \frac{1}{4} from both sides.

$$w>-\frac{3}{5}-\frac{1}{4}$$

Least common multiple of 5 and 4 is 20. Convert -\frac{3}{5} and \frac{1}{4} to fractions with denominator 20.

$$w>-\frac{12}{20}-\frac{5}{20}$$

Since -\frac{12}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$w>\frac{-12-5}{20}$$

Subtract 5 from -12 to get -17.

$$w>-\frac{17}{20}$$